Frontiers of Structural and Civil Engineering

 Front. Struct. Civ. Eng.    2019, Vol. 13 Issue (1) : 38-48     https://doi.org/10.1007/s11709-018-0479-1
 REVIEW |
Empirical models and design codes in prediction of modulus of elasticity of concrete
Centre for Built Infrastructure Research, University of Technology Sydney, Sydney, Australia
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 Abstract Modulus of Elasticity (MOE) is a key parameter in reinforced concrete design. It represents the stress-strain relationship in the elastic range and is used in the prediction of concrete structures. Out of range estimation of MOE in the existing codes of practice strongly affect the design and performance of the concrete structures. This study includes: (a) evaluation and comparison of the existing analytical models to estimating the MOE in normal strength concrete, and (b) proposing and verifying a new model. In addition, a wide range of experimental databases and empirical models to estimate the MOE from compressive strength and density of concrete are evaluated to verification of the proposed model. The results show underestimation of MOE of conventional concrete in majority of the existing models. Also, considering the consistency between density and mechanical properties of concrete, the predicted MOE in the models including density effect, are more compatible with the experimental results. Corresponding Authors: Behnam VAKHSHOURI Online First Date: 08 May 2018    Issue Date: 04 January 2019
 Cite this article: Behnam VAKHSHOURI,Shami NEJADI. Empirical models and design codes in prediction of modulus of elasticity of concrete[J]. Front. Struct. Civ. Eng., 2019, 13(1): 38-48. URL: http://journal.hep.com.cn/fsce/EN/10.1007/s11709-018-0479-1 http://journal.hep.com.cn/fsce/EN/Y2019/V13/I1/38
 Fig.1  Stress-strain diagram of concrete and its components Fig.2  Classification of factors affecting the elastic modulus of concrete [8] Fig.3  Predicted MOE values of Eq. (1) versus experimented values Fig.4  Comparison between predicted MOE in codes of practice vs. predicted MOE by proposed model. Fig.5  Comparison between predicted MOE in empirical models vs. predicted MOE by proposed model. Fig.6  Comparison of experimental vs. predicted MOE in proposed model and best matching models in codes of practice Fig.7  Comparison of experimental vs. predicted MOE in proposed model and best matching empirical models Tab.1  Existing models in codes of practice to predict MOE of normal strength concrete Tab.2  The best fitting equation with the CS-MOE data in SP 52-101(2003) [14] Tab.3  The best fitting equation with the CS-MOE data in JSCE (2007) [36] Tab.4  The best fitting equation with the CS-MOE data in BS 5400-4(1990) [37] Tab.5  Classification of international design codes using the same MOE model Tab.6  Empirical models to predict the modulus of elasticity of normal strength concrete Tab.7  Coefficient of correlation factor for MOE (models in codes of practice) Tab.8  Coefficient of correlation factor for MOE (Empirical models)